96961500 has 144 divisors (see below), whose sum is σ = 316854720. Its totient is φ = 24931200.

The previous prime is 96961499. The next prime is 96961511. The reversal of 96961500 is 516969.

96961500 is a `hidden beast` number, since 96 + 9 + 61 + 500 = 666.

It is a super-3 number, since 3×96961500³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130129 + ... + 130871.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2^96961500 is an apocalyptic number.

96961500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96961500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

96961500 is an abundant number, since it is smaller than the sum of its proper divisors (219893220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96961500 is a wasteful number, since it uses less digits than its factorization.

96961500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 96961500 is about 9846.9030664468. The cubic root of 96961500 is about 459.4092921783.

It can be divided in two parts, 96961 and 500, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 96961500 in words is "ninety-six million, nine hundred sixty-one thousand, five hundred".